Question

determine the type of rotation below *

Explanation:

Step1: Analyze the rotation direction

Clockwise rotation is in the direction of a clock's hands. Counter - clockwise is the opposite.

Step2: Determine the rotation angle

A 90 - degree clockwise rotation: For a point \((x,y)\) rotated 90 degrees clockwise about the origin, the new coordinates are \((y,-x)\).
A 270 - degree counter - clockwise rotation: Rotating a point \((x,y)\) 270 degrees counter - clockwise about the origin is equivalent to a 90 - degree clockwise rotation. The new coordinates are \((y,-x)\).
A 90 - degree counter - clockwise rotation: For a point \((x,y)\) rotated 90 degrees counter - clockwise about the origin, the new coordinates are \((-y,x)\).
A 180 - degree rotation: For a point \((x,y)\) rotated 180 degrees about the origin, the new coordinates are \((-x,-y)\).
A 270 - degree clockwise rotation: Rotating a point \((x,y)\) 270 degrees clockwise about the origin is equivalent to a 90 - degree counter - clockwise rotation. The new coordinates are \((-y,x)\).
By observing the figure (assuming a standard coordinate - based rotation analysis where we can track a point's movement), if we consider a general point in the original figure (black) and its corresponding point in the rotated figure (blue), we can see that the rotation is in the clockwise direction.
If we assume a point \((x,y)\) in the original figure and check its transformation. Let's take a simple case: if we consider a point \((1,1)\) (in a general sense of the figure's coordinate - like structure). After a 90 - degree clockwise rotation, it would go to \((1, - 1)\).

Answer:

90 clockwise, 270 counterclockwise